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Finding the Third Proportional to 3,971.81 and 7,843.88

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Solution

The third proportional to 3,971.81 and 7,843.88 is: 15,490.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.81 : 7,843.88 = 7,843.88 : x
  2. Step 2: Convert to fraction form
    3,971.81/7,843.88 = 7,843.88/x
  3. Step 3: Cross multiply
    3,971.81x = 7,843.88 × 7,843.88
  4. Step 4: Simplify right side
    3,971.81x = 61,526,375.02
  5. Step 5: Solve for x
    x = 61,526,375.02/3,971.81
  6. Step 6: Final answer
    x = 15,490.76

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.